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Information about Understanding the Magic: Teaching Cryptography with Just the Right...

Published on August 8, 2008

Author: joshuarbholden

Source: slideshare.net

Cryptography is a field which has recently attracted a great deal of attention from both students and teachers of mathematics and of computer science. Students of computer science see cryptography as something which is not only "cool" but may be necessary for them to know in their future careers. Many of them do not realize, however, just how much mathematics they need to know in order to understand the algorithms which lie at the heart of modern cryptography.

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What am I going to show you? • Pohlig-Hellman exponentiation cipher • Fermat’s Little Theorem • Necessary ideas for RSA • One way to mix mathematics and cryptog- raphy • A neat “magic trick”? 1

What comes before? • Shift ciphers • Modular arithmetic • Multiplicative ciphers • Euclidean algorithm and multiplicative in- verses • Block ciphers (e.g. Hill cipher) • Private-key vs. public-key ciphers 2

Chapter 1 of Understanding Cryptography by Christof Paar and ... Understanding the Magic: Teaching Cryptography with. Just the Right Amount of. Mathematics.

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Understanding Understanding. ... which just 33 percent got right, ... Teaching for understanding is perhaps more effective, ...

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That the amount of material in any math course ... That mathematics is just a collection of ... Understanding Mathematics ...

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... Wenbo Mao uses a simple game to demonstrate the complexity of cryptography, ... let us just consider our "cryptography" as a ... for mathematics): ...

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... effective math teaching. If you were asked what were the most important principles in mathematics teaching, ... teacher to do? Well, you just have ...

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Centre for Innovation in Mathematics Teaching has the following ... be cryptography; the idea is just to show ... for teaching Cryptography ...

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Observing your students is another strategy for understanding students. The teacher can ... to right down how much time they ... the teacher become more ...

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Teaching Elementary Students the Magic of ... everybody can learn mathematics. ... know how to get the right answer. It just showed up. Teacher 7: ...

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iv The Laws of Cryptography ... The reader should not actively dislike mathematics, although the amount and ... to calculate the magic and , just work ...

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